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2269403136 = 211337111341
BaseRepresentation
bin1000011101000100…
…0101100000000000
312212011021121212000
42013101011200000
514121431400021
61013105104000
7110144415450
oct20721054000
95764247760
102269403136
11a65023190
12534028000
132a22215c0
14177585d60
15d437ab26
hex87445800

2269403136 has 768 divisors, whose sum is σ = 9246182400. Its totient is φ = 530841600.

The previous prime is 2269403093. The next prime is 2269403137. The reversal of 2269403136 is 6313049622.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2269403136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269403137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55351276 + ... + 55351316.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 22269403136 is an apocalyptic number.

2269403136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2269403136 is an abundant number, since it is smaller than the sum of its proper divisors (6976779264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2269403136 is a wasteful number, since it uses less digits than its factorization.

2269403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2269403136 is about 47638.2528646885. The cubic root of 2269403136 is about 1314.1266323612.

The spelling of 2269403136 in words is "two billion, two hundred sixty-nine million, four hundred three thousand, one hundred thirty-six".